10. (04.02 LC)
For the following system, if you isolated x in the second equation to use the substitution method, what expression would you substitute into the first equation? (1 point)
2x+y=8
-x-3y=-12
O 3y + 12
O-3y + 12
O 3y - 12
-3y - 12

Answers

Answer 1

The expression that we can use to substitute into the first equation is

x = - 3y + 12.    

Substitution Method:  

The algebraic approach to solving linear equations is known as the substitution method. This procedure involves substituting a variable's value from one equation into the other. By doing this, a pair of linear equations are combined into a single equation with a single variable, making it simpler to solve.

Here we have

2x + y = 8 ---- (1)

- x - 3y = -12 ----- (2)  

We can isolate x in the second equation  as given below

=> - x - 3y = -12

Add 3y on both sides

=>  - x - 3y + 3y = - 12 + 3y

=>  - x = - 12 + 3y

Multiply by -1 on both sides

=>  -(- x) = - (- 12 + 3y)

=>  x = + 12 - 3y

=>  x = - 3y + 12      

Therefore,

The expression that we can use to substitute into the first equation is

x = - 3y + 12.    

Learn more about the Substitution Method at

https://brainly.com/question/14619835

#SPJ1


Related Questions

guys help im bad at math

Answers

Answer:

A = 13

B = 50

C = 22.5

D = 3.5

E = 16.3

Step-by-step explanation:

divide each area by 4

ex: 52 ÷ 4 = 13

Don’t worry we’re all bad at math. Though this simple once you know what to do. Simply divide each area by 4 and each will end up coming out to

A: 13

B: 50

C: 22.5

D: 3.5

E: 16.3

There you go!

A flower bed is in the shape of a triangle, with a base of 11 feet and a height of 7 feet. What is the area of the flower bed

Answers

Answer:

38.5ft²

Step-by-step explanation:

Triangle area formula = [tex]\frac{1}{2} * b * h[/tex]

Triangle area = [tex]\frac{1}{2} * 11 * 7[/tex]

Triangle area = 0.5 * 11 * 7

Triangle area = 38.5ft²

Answer: GIVE THE GUY BRAILIEST PLEASE

CLICK ON PHOTO AND NOOOOO LINKS PLSSSS

Answers

You put those equal to each other that find the x and than x value to x+3.

Please help. Thank you.

Answers

Answer:

-10m-9

Step-by-step explanation:

-3(4m+3)+2m

combine like terms

-12m-9+2m

-10m-9

-10m-9 is the answer. good luck

joseph left the house at 11:17 A.M and returned at 12:45 P.M how many minutes was joseph gone from the house

Answers

1 hour & 28 minutes.

Joseph was gone from the house for 1 hour & 28 minutes.

WALLAHI HELP ME PLESEE WALLAHI HELP ME PLEASE I BEG ANYONE

Answers

9514 1404 393

Answer:

A: j = 25 +55hB: m = 50 +30h1 hour

Step-by-step explanation:

We're going to say Job A is the charge at Jim's shop. For h hours, that charge will be the sum of the parts cost and the hourly charge:

  j = 25 +55h

Job B is the charge at Myron's shop. Similarly, that charge is ...

  m = 50 +30h

__

The two charges are equal when ...

  j = m

  25 +55h = 50 +30h

  25h = 25 . . . . . . . . . . . subtract 25+30h from both sides of the equation

  h = 1 . . . . . . . . . . divide by 25

The charges are the same at the two shops for 1 hour worked.

_____

Additional comment

You may be expected to write your equations using y for the charge and x for the hours. I like to use variable names that remind me what they stand for.

__

In general, when you have rates that have different fixed fees and different per-quantity costs, the "break even" quantity is the ratio of the difference in fees to the difference in per-quantity costs. Here the parts (fees) differ by $25, and the per-hour cost differs by $25, so the number of hours is 25/25 = 1 to make the charges equal.

Find the slope of the line passing through the points (-6,-9) and (9,-9)

Answers

(-6,-9) (9–9
-9-9/-9- -6
-18/-3
The slope is 6
Hope that helped :)

I’ll give points + brainslist, if you don’t know don’t bother answering (:

Answers

Answer:

I think that its D

Step-by-step explanation:

..

Answer:

A 2

Step-by-step explanation:

have a good day /night sorry if wrong

8 3/4 divided by 3 1/2

Answers

Answer:

[tex]2\frac{1}{2}[/tex]

Step-by-step explanation:

Pls help with this asap

Answers

The answer is A and D

find the next term in the sequence. please type the number only as you answer. hint first figure out if the sequence is arithmetic or geometric
-3,9,-27,81,​

Answers

Next term = -243
Because it is x3 every time

A rectangular garden has dimensions of 100 feet by 10 feet. Next season, the garden is decreased to 2/5 of its size what is the scale of the new drawing

Answers

Answer:

4 and 40

Step-by-step explanation:

2/5 of 10 is 4

2/5 of 100 is 40

whcich expression are equivialant to the one below 3^4*3^x

Answers

Answer:

3x+4

Step-by-step explanation:

A block of wood measures 5.5 inches by 3.5 inches by 9 inches. What is the volume of the block of wood

Answers

Answer:

V = 173.25 in³

Steps:

V = 5.5 × 3.5 × 9

V = 173.25 in³

Question:

Simplify. √(36)²

Answers

Answer:

36

Step-by-step explanation:

sqrt(36)^2

36

I hope this helps

5/8 in simplest form.

Answers

Answer:

5/8 in simplest form is 5/8

Step-by-step explanation:

Answer:

5/8 is in the simplest form already.

Step-by-step explanation:

It cant be lowered anymore, due to 5 not being divisible by 4, 2, or 8, which is what 8 is divisible by.

set up a proportion and use it to solve for x​

Answers

Answer:

[tex]x = 8[/tex]

Step-by-step explanation:

Set up the proportion

[tex] \frac{3}{6} = \frac{7}{6 + x} [/tex]

[tex]18 + 3x = 42[/tex]

[tex]3x = 24[/tex]

[tex]x = 8[/tex]

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is nine times the measure of the first angle. The third angle is 26 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.

Answers

Answer:

the measures of the three angles: x=18°, y= 68°, z=. 94°

PLEASE HELP!! NO SCAM LINKS

Answers

9514 1404 393

Answer:

  (d)  new line is less steep

Step-by-step explanation:

Changing the slope from 3 to 1/3 makes the line less steep.

__

In the attachment, the blue line is the new line.

The sim of any matrix and a zero matrix is

A. Undefined

B. Zero

C. The zero matrix

D. The original matrix

Answers

The answer would be D

It’s D the answer is D

Help me I beg u! The pre-image coordinates of a triangle are J(-6,9), K(-6,4), and L(-3,4). The coordinates of the transformed triangle are J'(2,9), K'(2,4), and L'(5,4). What transformation has occurred? A. translation B. reflection C. dilation D. rotation Reset Next Question

Answers

Answer:

A. Translation

Step-by-step explanation:

Given

Preimage

[tex]J = (-6,9)[/tex]

[tex]K = (-6,4)[/tex]

[tex]L = (-3,4)[/tex]

Image

[tex]J' = (2,9)[/tex]

[tex]K' = (2,4)[/tex]

[tex]L' = (5,4)[/tex]

Required

Which transformation occurred

The transformation that occurs is translation because each of the preimage were translated or shifter right by 8 units.

The rule applied here is:

[tex](x,y)=>(x+8,y)[/tex]

So, we have:

[tex]J = (-6,9)[/tex] [tex]==> (-6+8,9) = (2,9)[/tex]

[tex]K = (-6,4)[/tex] [tex]==> (-6+8,4) = (2,4)[/tex]

[tex]L = (-3,4)[/tex] [tex]==> (-3+8,4) = (5,4)[/tex]

Hence, the transformation is (a) Translation

Helpp meeeeeeeeeeeeeeeeeee

Answers

Answer:

perimeter = 48 Area = 144

Step-by-step explanation:

was that all?

Jimmy has 6 computers and 7 printers to choose from. How many possible computer- printer combinations are there to make?

O 42
O 13​

Answers

Answer:

13

Step-by-step explanation:

Computers=6

Printers=7

Now,

=6+7

=13

The correct answer is 13

Can someone help me with this question?

Answers

Answer:

D

Step-by-step explanation:

2 x 2 = 4 x PI = 12.56

The answer would be. B

Rachel has a drawerful of pop, rock, metal, and country CDs. The table gives the probability of randomly picking a CD of each type from the
drawer.
Music Style Probability of Picking a CD
pop
0.2
rock
0.1
metal
0.3
country
0.4
Rachel picks a CD 150 times, replacing each pick before the next draw. Arrange the events in order from the lowest predicted frequency to the
highest predicted frequency.
picking a pop
music CD
picking a rock
music CD
picking a metal
music CD
picking a country
music CD

Answers

Answer:

rock, pop, metal, country

Step-by-step explanation:

i just took the test :)

On Edmentum and got it right.

0. Folded boxes a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 5 ft by 8 ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the largest box that can be formed in this way. b. Squares with sides of length x are cut out of each corner of a square piece of cardboard with sides of length /. Find the volume of the largest open box that can be formed in this way.

Answers

Answer:

Box dimensions:

L = 3 ft

D = 6 ft

H = 1 ft

Volume  V = 18 ft³

Step-by-step explanation:

a) Each side of the future box is

L = 5 - 2*x     D = 8 - 2*x  

height of the box is   x

Then the volume of the box as function of x is:

V(x) =  ( 5 - 2*x ) * ( 8  - 2*x ) * x

V(x) = ( 40 - 10*x - 16*x + 4*x² ) * x

V(x) = 40*x - 26*x² + 4*x³

Tacking derivatives on both sides of the equation:

V´(x) = 40 - 52*x + 12x²     or     V´(x) = 20 - 26*x + 6*x²

If V´(x) = 0

6*x² - 26*x + 20  = 0

Solving for x

x₁,₂  = (-b ± √ b² - 4*a*c  ] /2*a

x₁,₂  = ( 26  ±  √ 676  - 480  ) / 12

x₁,₂  =  (26 ± 14 )/ 12

x₁  = 1

x₂ = 3,33        ( we dismiss this solution since is not feasible according to cardboard dimensions )

Then the sides of the box are:

L = 5 -2*x      L  =  5 - 2*1     L = 3 ft

D = 8 - 2*x    D  = 8 - 2*1     D = 6 ft

H = x = 1 ft

And the volume is    V = 6*3*1 = 18 ft³

Order these numbers from least to greatest:
|-17|
|-18|
-18
|19|
20

Answers

Answer:

-18, |-17|, |-18|, |19|, 20

Step-by-step explanation:

the absolute value of -17 is 17, the absolute value of -18 is 18, and the absolute value of 19 is just 19. Absolute values are never negative.

Hope this helps!

Gaelle Bosquet Nth Term of an Arithmetic Sequence Apr 10, 12:29:36 AM Find the 60th term of the arithmetic sequence 4,-1,-6, ... Answer: Submit Answer

Answers

Answer:

The nth term is [tex]a_n = 4 - 5(n-1)[/tex]

The 60th term of the sequence is -291.

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and it is called common difference.

The nth term is given by:

[tex]a_n = a_1 + (n-1)d[/tex]

In which [tex]a_1[/tex] is the first term and d is the common difference.

4,-1,-6

The common difference is:

[tex]d = -1 - 4 = -5[/tex]

First term [tex]a_1 = 4[/tex]

So

[tex]a_n = a_1 + (n-1)d[/tex]

[tex]a_n = 4 - 5(n-1)[/tex]

60th term:

[tex]a_{60}[/tex]. Si

[tex]a_{60} = 4 - 5(60-1) = -291[/tex]

The 60th term of the sequence is -291.

I need help if you get right I will mark you

Answers

Answer:

20% of his budget

Step-by-step explanation:

1500 - 100% /10

150 - 10 % ×2

300 - 20%

Answer:

20%

Step-by-step explanation:

The % is 300 / 1500 * 100% = 0.2 * 100% = 20%

help me please! i’m giving brainliest! :)

A desk measures 3 feet in height. How many inches does the desk measure in height?

Answers

Answer:

36 Inches

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

it would just be 12×3=36

Other Questions
Select the correct text in the passage.In his "Four Freedoms" Speech to Congress, President Franklin Roosevelt calls for the end of human oppression and the beginning of universallberty. Which sentence from the passage best support this analysis?from Roosevelt's "Four Freedoms" SpeechThe first is freedom of speech and expression- everywhere in the world.The second is freedom of every person to worship God in his own wayeverywhere in the world.The third is freedom from want-which, translated into world terms, means economic understandings which will secure to every nation a healthypeacetime life for its inhabitants-everywhere in the world.The fourth is freedom from fear-which, translated into world terms, means a world-wide reduction of armaments to such a point and in such :thorough fashion that no nation will be in a position to commit an act of physical aggression against any neighboranywhere in the world.That is no vision of a distant millennium. It is a definite basis for a kind of world attainable in ourown time and generation. That kind of worldthe very antithesis of the so-called new order of tyranny which the dictators seek to create with the crash of a bomb.To that new order we oppose the greater conception-the moral order.A good society is able to face schemes of world domination and foreignrevolutions alike without fear.Since the beginning of our American history, we have been engaged in change-in a perpetual peaceful revolution-a revolution which goes onsteadily, quietly adjusting itself to changing conditions-without the concentration camp or the quick-lime in the ditch. The world order which we seekis the cooperation of free countries, working together in a friendly, civilized society.This nation has placed its destiny in the hands and heads and hearts of its millions of free men and women; and its faith in freedom under theguidance of God. Freedom means the supremacy of human rights everywhere. Our support goes to those Co who struggle to gain those rights or keepthem. Our strength is our unity of purpose.To that high concept there can be no end save victory. Make a conclusion/concluding thought about snakes or Burmese pythons Do we use == in pseudocode? Explain the five kinds of erosionRiver,wind, people,waves,Ice What is the central message of the essay? Fill in the blanks to complete the statement describing the new systems of labor that emerged in the South: The ___ survived in the rice kingdoms of South Carolina and Georgia, while ___ was preferred in Louisiana's sugar plantations. ___ came to dominate in the cotton and tobacco regions of Virginia and North Carolina. Name The Alkyne Shown. CI- - CC Name: Who was a contentious objector during WWI but later joined the war effort? What are the term limits of the Senators as written in Article I Section 3? morgan wants to have a new roof built. she has contacted three companies. all companies have very similar prices in terms of labor and materials. company 1 offered a material loading percentage of 68%. company 2 offered a percentage of 54%. and company 3 offered a percentage of 38%. which one should morgan choose? What kind of infection causes facial swelling? What was sanchos warning to his master? How did slavery benefit the industrial revolution? The average gestation for a full-term infant is _____ weeks, while an infant born at The party who has taken commercial paper in good faith and for value, before maturity, and without actual or constructive notice of any defects in the instrument is a(n): ____. Mikaela is completing in a race in which she both runs and rides a bicycle. She runs 5 kilometers in 0.5 hour and rides her bicycle 20 kilometers in 0. 8 hour.At the rate given, how many kilometers can Mikaela run in 1hour?At the rate given, how many kilometers can Mikaela bike in 1 hour?If Mikaela runs for 1 hour and bikes for 1 hour at the rates given, how far will she travel 4x+3y=23 x-5y=0 substitution What is the value of threshold voltage in 180nm technology node? Using the data for age given in Exercise 3.3, answer the following: (a) Use min-max normalization to transform the value 35 for age onto the range [0.0,1.0]. (b) Use z-score normalization to transform the value 35 for age, where the standard deviation of age is 12.94 years. (c) Use normalization by decimal scaling to transform the value 35 for age. (d) Comment on which method you would prefer to use for the given data, giving reasons as to why. It is sometimes better to hide parts of ourselves so we can fit in.